Work

Universal scaling limits for spin networks via martingale methods

Year: 2025

Type: article

Abstract: We use simple martingale methods to construct a large deviation theory of spin systems with pairwise interactions. As an application, we show that the fully connected case obeys a universal scaling limit that is just a product of magnetization eigenstates.

Source: Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

DOI: 10.1098/rspa.2024.0774

Author: Simone Franchini

Institution: Sapienza University of Rome

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, University of Science and Technology of China, Horizon 2020 Framework Programme

Awards: G1314527101, G434337789, G6840147566